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Simplifying -8x + 15 = -8(5x + -6) + -1 Reorder the terms: 15 + -8x = -8(5x + -6) + -1 Reorder the terms: 15 + -8x = -8(-6 + 5x) + -1 15 + -8x = (-6 * -8 + 5x * -8) + -1 15 + -8x = (48 + -40x) + -1 Reorder the terms: 15 + -8x = 48 + -1 + -40x Combine like terms: 48 + -1 = 47 15 + -8x = 47 + -40x Solving 15 + -8x = 47 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 15 + -8x + 40x = 47 + -40x + 40x Combine like terms: -8x + 40x = 32x 15 + 32x = 47 + -40x + 40x Combine like terms: -40x + 40x = 0 15 + 32x = 47 + 0 15 + 32x = 47 Add '-15' to each side of the equation. 15 + -15 + 32x = 47 + -15 Combine like terms: 15 + -15 = 0 0 + 32x = 47 + -15 32x = 47 + -15 Combine like terms: 47 + -15 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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